Question

What is the next term in the sequence?
6, 11/2 , 5 , 9/2 , 4
What did you do to get your answer?

Answer 1

what type of sequence are we looking at? arith. or geom?

Answer 2

or random?

Answer 3

It just says make a conjecture about the next item in each sequence

Answer 4

\[\frac{12,11,10,9,8,...}{2}\]

Answer 5

So I guess it's random

Answer 6

\[{12 \over 2}, {11 \over 2}, {10 \over 2}, {9 \over 2}, {8 \over 2}, {{(13-n)} \over 2}={7 \over 2}\]

Answer 7

the only thing I know is that you subtract 1/2 and get the previous number, but I don't know how to get the next number

Answer 8

its arithmetic, just have to make them all match denoms

Answer 9

Oh I see

Answer 10

if you know to subtract 1/2; then by all means do it

Answer 11

Thanks

Answer 12

Hey, but do you know a quick way of figuring this out?